Search results for "Qutrit"

showing 3 items of 13 documents

Three-qutrit entanglement and simple singularities

2016

In this paper, we use singularity theory to study the entanglement nature of pure three-qutrit systems. We first consider the algebraic variety $X$ of separable three-qutrit states within the projective Hilbert space $\mathbb{P}(\mathcal{H}) = \mathbb{P}^{26}$. Given a quantum pure state $|\varphi\rangle\in \mathbb{P}(\mathcal{H})$ we define the $X_\varphi$-hypersuface by cutting $X$ with a hyperplane $H_\varphi$ defined by the linear form $\langle\varphi|$ (the $X_\varphi$-hypersurface of $X$ is $X\cap H_\varphi \subset X$). We prove that when $|\varphi\rangle$ ranges over the SLOCC entanglement classes, the "worst" possible singular $X_\varphi$-hypersuface with isolated singularities, has…

Statistics and ProbabilityMathematics::Functional AnalysisQuantum PhysicsPure mathematicsSingularity theory010102 general mathematicsGeneral Physics and AstronomyStatistical and Nonlinear PhysicsAlgebraic varietyQuantum PhysicsQuantum entanglementSingular point of a curve01 natural sciencesMathematics - Algebraic GeometryHypersurfaceHyperplaneModeling and Simulation0103 physical sciencesProjective Hilbert space0101 mathematicsQutrit010306 general physicsMathematical PhysicsMathematicsJournal of Physics A: Mathematical and Theoretical
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Spin-1/2 sub-dynamics nested in the quantum dynamics of two coupled qutrits

2017

In this paper we investigate the quantum dynamics of two spin-1 systems, $\vec{\textbf{S}}_1$ and $\vec{\textbf{S}}_2$, adopting a generalized $(\vec{\textbf{S}}_1+\vec{\textbf{S}}_2)^2$-nonconserving Heisenberg model. We show that, due to its symmetry property, the nine-dimensional dynamics of the two qutrits exactly decouples into the direct sum of two sub-dynamics living in two orthogonal four- and five-dimensional subspaces. Such a reduction is further strengthened by our central result consisting in the fact that in the four-dimensional dynamically invariant subspace, the two qutrits quantum dynamics, with no approximations, is equivalent to that of two non interacting spin 1/2's. The …

Statistics and ProbabilityQuantum dynamicsGeneral Physics and AstronomyFOS: Physical sciencesquantum mechanicquantum entanglement01 natural sciencesSettore FIS/03 - Fisica Della Materia010305 fluids & plasmasReduction (complexity)Theoretical physicsPhysics and Astronomy (all)0103 physical sciencesMathematical Physic010306 general physicsMathematical PhysicsSpin-½symmetry-based emergence of qubit subdynamicPhysicsQuantum PhysicsDirect sumHeisenberg modeltwo coupled qutrit Hamiltonian modelInvariant subspaceStatistical and Nonlinear PhysicsLinear subspaceSymmetry (physics)Modeling and SimulationQuantum Physics (quant-ph)Statistical and Nonlinear Physic
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Novel qutrit circuit design for multiplexer, De-multiplexer, and decoder

2022

AbstractDesigning conventional circuits present many challenges, including minimizing internal power dissipation. An approach to overcoming this problem is utilizing quantum technology, which has attracted significant attention as an alternative to Nanoscale CMOS technology. The reduction of energy dissipation makes quantum circuits an up-and-coming emerging technology. Ternary logic can potentially diminish the quantum circuit width, which is currently a limitation in quantum technologies. Using qutrit instead of qubit could play an essential role in the future of quantum computing. First, we propose two approaches for quantum ternary decoder circuit in this context. Then, we propose a qua…

quantum ternary logicqutritModeling and Simulationrestoration techniqueSignal ProcessingStatistical and Nonlinear Physicsnon-restoration techniqueElectrical and Electronic Engineeringkvanttilaskentaquantum computingTheoretical Computer ScienceElectronic Optical and Magnetic Materials
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